Item$3$

$15$

points

Return to questionItem $3$

Problem $4$S$-7($Algo$)$

A production line has three machines A$,$ B$,$ and C$,$ with reliabilities of $\mathrm{.}96,\mathrm{.}93,$ and $\mathrm{.}83,$ respectively. The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the line$$s reliability. Plan $1$ involves adding an identical backup production line $($consisting of identical machines A$,$B$,$ and C$),$ and plan $2$ involves providing a backup machine for each machine. In either case, three machines $($A$,$ B$,$ and C$)$ would be used with reliabilities equal to the original three.